SEMINAR “Contemporary Analysis and Partial Differential Equations” (26.10.2023)

SEMINAR “Contemporary Analysis and Partial Differential Equations” (26.10.2023)

 

 

 

 

Dirk Langemann

Technical University of Braunschweig, Germany

d.langemann@tu-bs.de

Reaction-Diffusion Equations for Modeling Locally Resolved Life-Science Applications

Thursday, 26 October 2023 at 14:15

On line: https://meet.google.com/nif-zfwd-mrg

Abstract

Life-science applications like the course of liver infections, the development of resistant plants or bacteria or the spreading of wildfires are described by local reaction terms and non-local terms describing diffusive or convective migration of the effects. That leads to the interesting class of reaction-diffusion equations which provides surprising phenomena. After the introduction of the life-science applications, we will discuss the typical solution behaviour like travelling waves and Turing instabilities, which might occur when leveling effects are combined. Finally, we demonstrate the consequences for the modeled applications.

Seminar video report

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